In each case, identify the relevant sampling distribution (if possible), and justify your answer.

(a) House prices have a positively-skewed distribution. Suppose Perth house values have a mean price of $650,000 with a standard deviation of $450,000. What is the distribution of the average price of 45 randomly-selected Perth houses?

(b) Assume that birthdays are uniformly distributed over a calendar year.If X is the day- number of birthdays (i.e., X varies from 1 to 365, ignoring leap-years), then μX = 183 and σX = 105.37. What is the distribution of in samples of 20 randomly-selected people?

(c) In a rural adult population in northern Ghana, systolic blood pressure is roughly normally distributed with μ = 124.25 mm Hg and σ = 18.67 mm Hg. What sampling distribution is relevant to the average systolic blood pressure in a sample of 15 people from this population?